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Finding the Fourth Proportional to 3,855.74, 5,320.22 and 2,284.20

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Solution

The fourth proportional to 3,855.74, 5,320.22 and 2,284.20 is: 3,151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.74 : 5,320.22 = 2,284.20 : x
  2. Step 2: Convert to fraction form
    3,855.74/5,320.22 = 2,284.20/x
  3. Step 3: Cross multiply
    3,855.74x = 5,320.22 × 2,284.20
  4. Step 4: Simplify right side
    3,855.74x = 12,152,435.10
  5. Step 5: Solve for x
    x = 12,152,435.10/3,855.74
  6. Step 6: Final answer
    x = 3,151.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.